Global optimization using α-ordered proximal contractions in metric spaces with partial orders

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Publication Details

Author list: Komal S., Kumam P.

Publisher: Universidad Politécnica de Valencia

Publication year: 2016

Journal: Applied General Topology (1576-9402)

Volume number: 17

Issue number: 2

Start page: 173

End page: 183

Number of pages: 11

ISSN: 1576-9402

eISSN: 1989-4147

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84991384625&doi=10.4995%2fagt.2016.5180&partnerID=40&md5=0342fa0832e06dea427335e2fca9849f

Languages: English-Great Britain (EN-GB)

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Abstract

The purpose of this article is to establish the global optimization with partial orders for the pair of non-self mappings, by introducing a new type of contractions like α-ordered contraction and α-ordered proximal contraction in the frame work of complete metric spaces. Also to calculate some fixed point theorems with the help of these generalized contractions. In addition, to establish an example which shows the validity of our main result. These results extend and unify many existing results in the literature. © AGT, UPV, 2016.

Keywords

α-ordered contractions, α-ordered proximal contraction, α-ordered proximal cyclic contraction